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3 years ago

How is 81^1/4 is 3?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

Answer:

$\sqrt[4]{81} = {( {3}^{4}) }^{ \frac{1}{4} }$

Step-by-step explanation:

it's obvious that 3·3·3·3=81

or you can do the prime factorization of 81

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)) Fill in the missing number.<br> ()) 70% of<br> =<br> 56

Nutka1998 [239]

Answer: x=80

Step-by-step explanation: multiplying both sides by 100 and dividing both sides by 70 then we have x=56 x 100/70 then your answer is x=80. If you're using a calculator, simply enter 56x100 divided by 70 which will give you the answer

6 0

3 years ago

Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be a difference

MrMuchimi

Answer:

There appears to be a difference between the pulse rates from samples of adult males and females. The average pulse rate of males is 63.75 while that of females is 75.875.

Coefficient of Variation (male) = 33.44%

Coefficient of variation (female) = 28.35%

Step-by-step explanation:

Mean (male) = $\frac{sum of x}{n} =\frac{1020}{16} =63.75$

Mean (female) = $\frac{sum of y}{n} = \frac{1214}{16} = 75.875$

Standard Deviation (male) = $\sqrt{\frac{sum(x-63.75)^2}{16-1} } =21.315$

Standard Deviation (female) = $\sqrt{\frac{sum(y-75.875)^2}{16-1} } = 21.512$

Coefficient of Variation = $\frac{Std dev}{mean} *100$

For male, CV = $\frac{21.315}{63.75} *100=33.44%$ %

For female, CV = $\frac{21.512}{75.875} *100=28.35$ %

Comparison : Pulse rates of males has more variability than that of females since it has a greater coefficient of variation.

5 0

4 years ago

Read 2 more answers

If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?

Lyrx [107]

May be there is an operator missing in the first function, h(x). I will solve this in two ways, 1) as if the h(x) = 5x and 2) as if h(x) = 5 + x

1) If h(x) = 5x and k(x) = 1/x

Then (k o h) (x) = k ( h(x) ) = k(5x) = 1/(5x)

2) If h(x) = 5 + x and k (x) = 1/x

Then (k o h)(x) =k ( h(x) ) = k (5+x) = 1 / [5 + x]

4 0

3 years ago

Read 2 more answers

HELP PLZ

djverab [1.8K]

Answer:

no 12,5,12

Step-by-step explanation:

6 0

3 years ago

Total mass vs. numbers of cd and numbers of cd

Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

x = number of CDs
y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0

3 years ago